Differences

This shows you the differences between two versions of the page.

--- problem:explicit_examples_of_abstract_groups [2013/08/15 11:38]
joshuawiscons created
+++ problem:explicit_examples_of_abstract_groups [2013/08/22 16:15] (current)
bmwoodruff
@@ Line 3: / Line 3: @@
 Give examples of [[definition:Group|groups]] with the following properties by $\textbf{explicitly}$ giving a set and defining both functions as well as the distinguished element.
   - A group with $3$ elements
-  - A different group with $3$ elements, if possible}
+  - A different group with $3$ elements, if possible
   - A group with $4$ elements
-  - A different group with $4$ elements, if possible}
+  - A different group with $4$ elements, if possible
   - An infinite group
@@ Line 14: / Line 14: @@
 ----
 ==== $\LaTeX$ version ====
-<file tex explicit_examples_of_abstract_groups.tex>
+<file tex problem.explicit_examples_of_abstract_groups.tex>
 %%%%%
 % DEPENDENCIES
@@ Line 30: / Line 30: @@
 </file>
-{{tag>problem}}
+==== Questions ====
+Did you decide to use your definition that used to be in the wiki? I would potentially change this to be
+  *by $\textbf{explicitly}$ giving a set, defining the binary operation, stating the inverse of each element, and identifying the identity.
+  *Do you want them to show that the group axioms hold? I could see a student doing all the above but failing to check associativity.  They'll get lucky most likely with small sets...
+{{tag>problem needsreview rben}}

Abstract Algebra IBL Wiki